Coupled Chaotic Tent Map Lattices System with Uniform Distribution

Abstract

A coupled chaotic map lattices system with uniform distribution (CML-UD) consisting of tent maps is presented based on the security from the viewpoint of cryptography. The system inherited the coupled diffusion and parallel iteration mechanism of coupled map lattices (CML). Through the dual non-linear effect of the rolled-out and folded-over of local lattices tent map and modular algorithms, CML-UD allows the system to enter into an ergodic state, and to rapidly generate uniform distributed multi-dimensional pseudo-random sequences concurrently. The experimental results show that, the time sequences generated by the system has the same differential distribution character with the real random sequence of which each element has equal chance to appear, and with this property, the system effectively restrains the short-period phenomenon which is easy to occur in digital chaotic system. In addition, it had many special properties such as zero correlation in total field, uniform invariable distribution and the maximum Lyapunov exponent is much bigger and steady. All of the properties suggest that the CML-UD possesses the potential application in encryption.